时滞分布参数系统中和控制器设计  

Neutralization Control of Distributed Parameter Systems With Delay

作　　者：周笔锋 罗毅平[2,3] ZHOU Bi-Feng;LUO Yi-Ping(Hunan Electrical College of Technology,Xiangtan 411101;Collaborative Innovation Center of Wind Power Equipment and Energy Conversion,Xiangtan 411101;College of Electrical Information,Hunan Institute of Engineering,Xiangtan 411101)

机构地区：[1]湖南电气职业技术学院,湘潭411101 [2]湖南工程学院风电装备与电能变换协同创新中心,湘潭411101 [3]湖南工程学院电气信息学院,湘潭411101

出　　处：《自动化学报》2018年第12期2222-2227,共6页Acta Automatica Sinica

基　　金：国家自然科学基金(11372107);湖南省自然科学基金(2017JJ5011;2017JJ4004);风力发电机组及控制湖南省重点实验室(湖南工程学院)开放基金(2017FLFDYB03)资助~~

摘　　要：首先给出中和控制器设计思路,针对具有时滞特性的分布参数系统,设计中和控制器,讨论此类系统的稳定问题.利用Lyapunov稳定性理论并结合矩阵不等式处理方法,得出具有时滞特性分布参数系统稳定中和控制器存在的充分条件.最后结合所给条件,给出一个数值仿真说明其有效性.The design idea of neutralization controller is given at first.Then the stability problem of distributed parameter systems with delay is investigated.A neutralization controller is designed for the system.By the Lyapunov stability theory and the linear matrix inequality,a sufficient condition is obtained for the stable neutralization controller to exist in the distributed parameter systems,in which the characteristics are delayed.Finally,combined with the given conditions, a numerical simulation is conducted to illustrate the effectiveness of the controller.

关 键 词：分布参数系统 中和控制 LYAPUNOV稳定性 时滞 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]